The charging current for a capacitor is 0.2 A. Find displacement Current

Options

A. 0.2 A
B. 0.4A
C. 0.1A
D. zero

Explanation

To find the displacement current when the charging current for a capacitor is given as 0.2 A, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Displacement Current**:
Displacement current (\(I_d\)) is defined in the context of a changing electric field in a capacitor. It can be expressed mathematically as:
\[ I_d = \epsilon_0 \frac{d\Phi}{dt} \]
where \(\Phi\) is the electric flux through the capacitor plates.

2. **Identify the Given Information**:
We are given the charging current \(I\) for the capacitor, which is \(0.2 \, \text{A}\).

3. **Relate Charging Current to Displacement Current**:
In a capacitor, the displacement current is equal to the charging current when the capacitor is charging. Therefore:
\[ I_d = I \]

4. **Substitute the Known Values**:
Since the charging current \(I\) is given as \(0.2 \, \text{A}\), we can substitute this value into our equation for displacement current:
\[ I_d = 0.2 \, \text{A} \]

5. **Conclusion**:
Thus, the displacement current is also \(0.2 \, \text{A}\).

### Final Answer:
The displacement current is \(0.2 \, \text{A}\).

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